@Article{ATA-34-1, author = {}, title = {Some Generalized $q$-Bessel Type Wavelets and Associated Transforms}, journal = {Analysis in Theory and Applications}, year = {2018}, volume = {34}, number = {1}, pages = {57--76}, abstract = {

In this paper wavelet functions are introduced in the context of $q$-theory. We precisely extend the case of Bessel and $q$-Bessel wavelets to the generalized $q$-Bessel wavelets. Starting from the $(q,v)$-extension $(v = (α,β))$ of the $q$-case, associated generalized $q$-wavelets and generalized $q$-wavelet transforms are developed for the new context. Reconstruction and Placherel type formulas are proved.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2018.v34.n1.5}, url = {https://global-sci.com/article/73851/some-generalized-q-bessel-type-wavelets-and-associated-transforms} }